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Simplifying 6(2 + -3m) = 8(m + -2) (2 * 6 + -3m * 6) = 8(m + -2) (12 + -18m) = 8(m + -2) Reorder the terms: 12 + -18m = 8(-2 + m) 12 + -18m = (-2 * 8 + m * 8) 12 + -18m = (-16 + 8m) Solving 12 + -18m = -16 + 8m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-8m' to each side of the equation. 12 + -18m + -8m = -16 + 8m + -8m Combine like terms: -18m + -8m = -26m 12 + -26m = -16 + 8m + -8m Combine like terms: 8m + -8m = 0 12 + -26m = -16 + 0 12 + -26m = -16 Add '-12' to each side of the equation. 12 + -12 + -26m = -16 + -12 Combine like terms: 12 + -12 = 0 0 + -26m = -16 + -12 -26m = -16 + -12 Combine like terms: -16 + -12 = -28 -26m = -28 Divide each side by '-26'. m = 1.076923077 Simplifying m = 1.076923077
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